03074nam 22004813 450 991079948840332120240529211021.03-031-48102-X9783031481024(ebook)(MiAaPQ)EBC31051708(Au-PeEL)EBL31051708(CKB)29510376200041(EXLCZ)992951037620004120240105h20232023 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierFractal patterns with MATLAB /Santo Banerjee, A. Gowrisankar, Komandla Mahipal ReddyCham :Springer,[2023]©20231 online resource (xi, 85 pages) illustrationsSpringerBriefs in complexity,2191-5334Print version: Banerjee, Santo Fractal Patterns with MATLAB Cham : Springer International Publishing AG,c2024 9783031481017 Includes bibliographical references.Intro -- Preface -- Contents -- List of Figures -- List of Tables -- 1 Fractals and Dimensions -- 1.1 Introduction -- 1.2 Deterministic Iteration Algorithm -- 1.2.1 Sierpinski Triangle -- 1.2.2 von Koch Curve -- 1.2.3 Dragon Curve -- 1.2.4 Fern Leaf -- 1.2.5 Sierpinski Carpet -- 1.3 Fractal Dimensions -- 1.3.1 Box Counting Algorithm -- 1.3.2 Higuchi Algorithm -- 1.3.3 Katz Algorithm -- References -- 2 Univariate Fractal Functions -- 2.1 Affine Fractal Interpolation -- 2.1.1 Vertical Scaling Factors -- 2.1.2 Affine Fractal Function with Variable Scaling -- 2.1.3 Numerical Simulation -- 2.2 alphaα-Fractal Interpolation -- 2.2.1 alphaα-Fractal Function with Variable Scaling -- 2.2.2 Numerical Simulation -- 2.3 Hidden Variable Fractal Interpolation -- 2.3.1 Numerical Simulation -- References -- 3 Differentiable Fractal Functions -- 3.1 Hermite Cubic Fractal Spline -- 3.1.1 Numerical Computation -- 3.2 Cubic Fractal Spline Using Moments -- 3.2.1 Numerical Computation -- 3.3 Rational Fractal Spline -- 3.3.1 Numerical Computation -- References -- 4 Fractal Interpolation Surfaces -- 4.1 Construction of Fractal Surfaces -- 4.1.1 RCFIFs Along X-direction and Y-direction -- 4.1.2 Fractal Surfaces by Coon's Technique -- 4.1.3 Numerical Computation -- 4.2 Fractal Surfaces with Variable Scaling -- 4.2.1 Numerical Computation -- References -- 5 Applications -- 5.1 Patterns of Mountains and Clouds -- 5.1.1 MATLAB Simulation -- 5.2 Reconstruction of Omicron Data -- 5.2.1 MATLAB Simulation -- References.SpringerBriefs in complexity.FractalsData processingFractalsthubLlibres electrònicsthubFractalsData processing.FractalsBanerjee Santo1976-730099Gowrisankar A(Arulprakash),Mahipal Reddy KomandlaMiAaPQMiAaPQMiAaPQBOOK9910799488403321Fractal Patterns with MATLAB3872779UNINA